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January 2019 The ffecE t Of Different Dianhydride Precursors On The yS nthesis, Characterization And Gas Separation Properties Of PI And PBO Derived From BisAPAF Maram Abdulhakim Qasem Al-Sayaghi
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THE EFFECT OF DIFFERENT DIANHYDRIDE PRECURSORS ON THE SYNTHESIS, CHARACTERIZATION AND GAS SEPARATION PROPERTIES OF PI AND PBO DERIVED FROM BISAPAF
By
Maram Abdulhakim Qasem Al-Sayaghi Bachelor of Engineering, University of Leeds, UK, 2016
A Thesis Submitted to the Graduate Faculty
of the
University of North Dakota
In partial fulfillment of the requirements
for the degree of
Master of Science
Grand Forks, North Dakota
May
2019
Copyright 2019 Maram Al-Sayaghi
ii
PERMISSION
Title The effect of different dianhydride precursors on the synthesis, characterization and gas separation properties of PI and PBO derived from BisAPAF
Department Chemical Engineering
Degree Master of Science
In presenting this thesis in partial fulfillment of the requirements for a graduate degree from the University of North Dakota, I agree that the library of this University shall make it freely available for inspection. I further agree that permission for extensive copying for scholarly purposes may be granted by the professor who supervised my thesis work or, in his absence, by the Chairperson of the department or the dean of the School of Graduate Studies. It is understood that any copying or publication or other use of this thesis or part thereof for financial gain shall not be allowed without my written permission. It is also understood that due recognition shall be given to me and to the University of North Dakota in any scholarly use which may be made of any material in my thesis.
Maram Al-Sayaghi April, 15th, 2019
iv
TABLE OF CONTENT
ACKNOWLEDGEMENTS ...... xv ABSTRACT ...... xvi CHAPTER 1: EXECUTIVE SUMMARY ...... 1 CHAPTER 2: A REVIEW OF THE FUNDAMENTALS OF POLYIMIDE MEMBRANES FOR NATURAL GAS SEPARATION ...... 5 2.1 Introduction ...... 5
2.2 Polymeric Membranes ...... 11
2.2.1 Mass transfer principles in membranes ...... 13
2.3 Polyimide Membranes ...... 19
2.3.1 Properties of polyimides membranes ...... 19
2.3.2 Chemistry & synthesis of polyimides membranes ...... 23
2.3.3 Thermal rearrangement of polyimides membranes ...... 33
2.4 Polyimide membranes for gas separation ...... 35
2.5 Surface modification of polyimides ...... 40
2.5.3 Ion Irradiation ...... 43
2.6 Conclusions ...... 44
References ...... 44
Appendix. 1 ...... 55
References ...... 58
CHAPTER 3: PHYSICOCHEMICAL AND THERMAL EFFECTS OF PENDANT GROUPS, SPATIAL LINKAGES AND BRIDGEING GROUPS ON THE FORMATION AND PROCESSING OF POLYIMIDES ...... 60 3.1 Abstract ...... 60
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3.2 Introduction ...... 60
3.3 Experimental section ...... 63
3.2.1 Materials ...... 63
3.2.2 Polymer synthesis ...... 65
3.2.3 Characterizations ...... 66
3.4 Results and discussion ...... 68
3.4.1 Solubility ...... 68
3.4.2 FTIR analysis ...... 71
3.4.3 Proton NMR analysis ...... 73
3.4.4 GPC, DSC, TGA & XRD analyses ...... 76
3.5 Conclusions ...... 78
Acknowledgements ...... 79
References ...... 79
CHAPTER 4: GAS SEPRATION USING POLYBENZOXAZOLE (PBO) MEMBRANES DERIVED FROM BISAPAF POLYIMIDES AND THE INFLUENCE OF DIANHYDRIDE PENDANT GROUPS ...... 82 4.1 Abstract ...... 82
4.2 Introduction ...... 82
4.3 Experimental Section ...... 85
4.3.1 Materials ...... 85
4.3.2 Materials Preparation ...... 86
4.4 Polymer Synthesis ...... 87
4.4.1 Hydroxyl polyamicacid (HPAA) synthesis ...... 87
4.4.2 Hydroxyl polyimide (HPI) synthesis ...... 88
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4.5 Membrane Formation & Thermal Rearrangement ...... 89
4.6 Characterization ...... 90
4.7 Gas Permeation Measurements ...... 92
4.8 Results and Discussion ...... 93
4.9 Conclusions ...... 105
Reference ...... 106
CHAPTER 5: SUPPLEMENTARY INFORMATION ...... 109 5.1 Stage (1): Synthesis issues ...... 109
5.1.1 Changing the amount of solvent ...... 110
5.1.2 Changing the reactant ratios ...... 112
5.1.3 Diamine purification ...... 113
5.1.4 Precipitation method ...... 114
5.1.5 Drying the solvent ...... 115
5.2 Stage (2): Casting issues ...... 116
5.2.1 Changing the support material ...... 116
5.2.2 Functionalizing the support material ...... 117
5.2.3 Changing the solvent and using Kapton® ...... 118
5.3 Stage (3): Premeation tests issues ...... 119
CHAPTER 6: CONCLUSIONS AND FUTURE RECOMMENDATIONS ...... 120
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LIST OF FIGURES
Figure 1. Chemical structures of the monomers used to synthesize the hydroxyl-polyimides
(HPIs)...... 3
Figure 2. Chemical structures of the monomers used to synthesize the hydroxyl-polyimides
(HPIs)...... 6
Figure 3. Summary of natural gas distribution scheme and technologies used for its separation
...... 7
Figure 4. Timeline representing the milestones in the industrial application of membrane gas separation systems ...... 10
Figure 5. Permeation in glassy polymers Vs. rubbery polymers ...... 12
Figure 6. The chemical structures of (a) Polyimide (PI), (b) Polyetherimide (PEI), (c)
Polysulfone (PSF) and (d) Polyethersulfone (PESF) ...... 13
Figure 7. Main types of diffusion mechanisms: (a) Knudsen diffusion, (b) molecular sieving,
(c) solution-diffusion, (d) surface diffusion and (e) capillary condensation ...... 14
Figure 8. Polyimides can be generally classified into three classes: fully aromatic, semi aromatic and fully aliphatic ...... 20
Figure 9. The underlying donor/acceptor system in polyimides and the resulting interchain locking. (a) The nitrogen molecules have high electron density than the carbonyl groups which lends it to the acceptor while the carbonyl groups draw the electron density away from the acceptor unit. (b) Interchain interlocking of the polyimide backbone causing the chains to stack
viii
as shown allowing the carbonyl of the acceptor on one chain to interact with the nitrogen of the donor on the adjacent chains ...... 22
Figure 10. Chemical structure of Kapton® ...... 23
Figure 11. The condensation reaction of Kapton and the chemistry of the polyamic acid and polyimide ...... 24
Figure 12. The reaction mechanism of the formation of polyimides ...... 26
Figure 13. The mechanism of the thermal ring-closure of amic acid to imide ...... 28
Figure 14. The synthesis of polybenzoxazole (PBO*) via thermal imidization (Route A)
(tPBO) and azeotropic imidization (Route B) (aPBO). Ar-1 and AR-2 are the aromatic moiety of the dianhydride and the diamine, respectively ...... 29
Figure 15. The mechanism of the chemical imidization of amic acid to imide (R: ethyl; Ar: phenyl) ...... 31
Figure 16. The synthesis of polyimide and polybenzoxazole (PBO) using the ester-acid method where Ar-1 is the aromatic moiety of the anhydride, and Ar-2 is the aromatic moiety of the diamine ...... 32
Figure 17. General mechanism of the TR of poly(hydroxyimides) ...... 33
Figure 18. The potential general mechanism of the TR of hydroxyl-containing polyimides to
PBO ...... 35
Figure 19. Upper bound correlation between CO2/CH4 (left) and CO2/N2 (right) separation for a number of TR polyimide membranes characterized based on the their imidization route .. 38
Figure 20. The upper bound correlation for N2/CH4 separation using a number of polymeric membranes ...... 39
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Figure 21. Upper bound correlation between (a) CO2/CH4, (b) CO2/N2 and (c) N2/CH4 gas separation for a number of TR polyimide membranes characterized based on the their imidization route...... 39
Figure 22: Crosslinking reaction between diamine and 6FDA based polyimide ...... 42
Figure 23: Diol crosslinking of carboxyl containing polyimide ...... 42
Figure 24. Chemical structures of the monomers used to synthesize the hydroxyl-polyimides
(HPIs)...... 64
Figure 25. FTIR spectra of HPI-ODPA, HPI-BTDA, HPI-PMDA and HPI-BPDA...... 72
Figure 26. 1H NMP for HPI-ODPA...... 74
Figure 27. 1H NMP for HPI-BTDA...... 75
Figure 28. 1H NMP for HPI-PMDA...... 76
Figure 29. Solvent distillation setup...... 87
Figure 30. Polymer synthesis and membrane fabrication scheme...... 90
Figure 31. The obtained (a) HPI, (b) polyimide membrane and (c) PBO...... 90
Figure 32. Sketch of the permeation test setup...... 93
Figure 33. FTIR spectra of APAF-BTDA membranes before and after TR...... 94
Figure 34. SEM images of polyimide membrane, (a) before TR and (b) after TR, showing the dense cross-section...... 96
Figure 35. The weight (%) of the polyimide membranes under N2 atmosphere...... 99
Figure 36. CO2/CH4 selectivity and CO2 permeability performance of polyimide membranes before and after TR plotted with the 2008 upper bound...... 102
Figure 37. N2/CH4 selectivity and N2 permeability performance of polyimide membranes before and after TR plotted with the 2008 upper bound...... 102
x
Figure 38. CO2/N2 selectivity and CO2 permeability performance of polyimide membranes before and after TR plotted with the 2008 upper bound...... 103
Figure 39. XRD pattern of APAF-BTDA before and after TR...... 105
Figure 40. SEM image of: (a) HPI-ODPA made using 70 mL of NMP, (b) HPI-ODPA made using 50 mL of NMP and (c) HPI-ODPA made using 26 mL of NMP...... 110
Figure 41. Photographs of: (a) HPI-ODPA made using 70 mL of NMP, (b) HPI-ODPA made using 50 mL of NMP and (c) HPI-ODPA made using 26 mL of NMP...... 111
Figure 42. FTIR spectrum of HPI-ODPA powders made in 70ml, 50 ml and 26 ml of NMP.
...... 111
Figure 43. Resulting polyimide "membrane" synthesized form reactant ratio of 1:0.5 of diamine: dianhydride...... 113
Figure 44. Photographs of the same diamine (a) before and (b) after recrystallizing in in
Toluene...... 114
Figure 45. Image of the membrane fabricated using the recrystallized diamine with ODPA.
...... 114
Figure 46. Physical structure of BisAPAF-ODPA (a) precipitated in the 50 mL and at room temperature, (b) precipitated in 700 mL, at 10 ºC and with vortex...... 115
Figure 47. Samples of the synthesized polyimide powders: (a)APAF-PMDA, (b) APAF-
ODPA and (c) APAF-BTDA...... 116
Figure 48. The dissolved polyimide powder solution adhered to the Pyrex glass after being thermally treated...... 117
Figure 49. Polyimide membrane (a) submerged in NaOH for several hours detaching and forming (b) free-standing membrane with many defects...... 118
xi
Figure 50. Casting the polyimide dissolved in DMF on a piece of Kapton®...... 118
Figure 51. Fabricated free-standing polyimide membranes: (a) APAF-PMDA, (b) APAF-
ODPA and (c) APAF-BTD...... 119
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LIST OF TABLES
Table 1. Typical natural gas composition and pipeline specifications...... 7
Table 2. Timeline of the history of membrane technology...... 9
Table 3. Calculated separation factors based on Knudsen flow of selected binary gas mixtures associated with natural gas...... 16
Table 4. Some of the most common monomers used to make polyimides...... 20
Table 5. The effect of gamma radiation on Kapton polyimide films ...... 23
Table 6. Potential solvents used for poly(amic acid) synthesis ...... 25
Table 7. Some dehydration agents used during the chemical imidization route ...... 30
Table 8. Tabulated values of the front factor (k) and the upper bound slope (n) ...... 37
Table 9. Physical properties of used precursors ...... 63
Table 10. Solubility of HPIs in common organic solvents: (+) represents complete solubility and (+/-) represents partial solubility...... 68
Table 11. Solubility parameter component group contributions from Hoftyzer-Van Krevelen method ...... 69
Table 12. Hoftyzer-Krevelen solubility parameters of HPIs and various solvents...... 70
Table 13. HPI-ODPA wavelengths and corresponding functional groups and molecular motion...... 72
Table 14. Properties of the HPI powders...... 77
xiii
Table 15. Chemical structures and physical properties of the monomers used to synthesize the hydroxyl-polyimides (HPIs) ...... 86
Table 16. Properties of the synthesized polyimides membranes...... 97
Table 17. Theoretical and experimental weight loss values of polyimide membranes at 400-
450ºC...... 99
Table 18. Gas permeation data of polyimide membranes before and after TR...... 100
Table 19. Calculated d-spacing from polyimide membranes before and after TR...... 104
Table 20. Infrared spectra of HPI-ODPA powders made in different amounts of NMP. .... 112
Table 21. Properties of BisAPAF-ODPA HPI synthesized using three solvent amounts (70, 50 and 26 mL)...... 112
xiv
ACKNOWLEDGEMENTS
I wish to express my sincere appreciation to my advisor Dr. Ali Alshami who invested in my potentials and in this project. I also would like to thank the members of my advisory committee for their guidance and support during my time in the master’s program at the
University of North Dakota. I also would like to thank my research collogues Jeremy Lewis and Chris Buelke for all the support and input they have provided throughout this journey. I would like to thank Dave Hirschmann for his help. Special thank you to my parents, husband and friends (Nadia and Rawan) for making this experience worthwhile.
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ABSTRACT
The current processes used for natural gas separation and purification are considered energy intensive which could potentially be substituted by membrane technology. Aromatic polyimides are considered one of the most viable types of polymers used for the fabrication of membranes for gas separation mainly due to their outstanding properties. Moreover, aromatic polyimides could be thermally rearranged to form another class of polymers called polybenzoxazoles which are characterized by having enhanced gas separation properties. This research aimed to (1) synthesize and characterize three different aromatic polyimides via polycondensation reaction of a diamine (BisAPAF) with three different dianhydride precursors
(PMDA, ODPA, BTDA), (2) fabricate free-standing polyimide membranes, and thermally rearrange them to polybenzoxazoles and (3) compare the gas separation properties
(permeabilities and selectivities) of the membranes before and after the thermal rearrangement and compare the results to Robeson upper bounds. The tested gas pairs tested were CO2/CH4,
N2/CH4 and CO2/N2. All the objectives of this research were successfully achieved, and it was found that chemical structure of the starting monomers plays a key role in the physicochemical properties of the synthesized polyimides which, consequently affected the gas separation properties. Among the three polyimides, APAF-BTDA showed the superior performance followed by APAF-PMDA and finally APAF-ODPA. This is believed to be due to the stability of the BTDA pendant group which resulted in high conversion and, hence, the best separation performance where they surpassed the Robeson upper bound for all gas pairs.
xvi
CHAPTER 1: EXECUTIVE SUMMARY
Natural gas is considered one of the primary fuels that currently supplies around 22% of the world’s energy and its consumption is expected to continue increasing exponentially for at least the coming 30 years [1]. As the raw natural gas is extracted, it is usually accompanied with impurities such as carbon dioxide and nitrogen that need to be removed before being able to transport it through pipelines. This separation/purification step is currently done via conventional processes such as cryogenic distillation, pressure swing adsorption and absorption/stripping. These processes are energy intensive, complex and rather unsustainable.
Therefore, separation using membranes is currently considered a potential viable alternative for the current conventional processes that could contribute towards a more sustainable future.
Generally, two types of membranes can be used for gas separation: polymeric and inorganic. Among the two, polymeric membranes are considered the most commonly used and investigated and that is mainly due to their superior properties and relative cost effectiveness.
One of the most viable types of polymers that has been explored intensively are aromatic polyimides. They are well known by their exceptional thermal stability, chemical resistance, mechanical strength and electric properties. They are generally formed via a polycondensation reaction of two monomers, a diamine and a dianhydride. It was found that the properties of polyimides could be significantly manipulated by varying the starting monomers. These properties include molecular weights, glass transition temperatures, degradation
1
Temperatures, as well as the rigidity of the chains and the extent and distribution of fractional free volume that dictates the gas separation properties.
Furthermore, the gas separation properties of aromatic polyimides could significantly be enhanced via a thermal treatment which converts the polyimide into polybenzoxazole.
During the conversion reaction, the polymer chains are rearranged to form a wide distribution of fractional free volume (FFV) which represents the distance between the polymer chains and sites through which the gases penetrate. This conversion causes the permeabilities of the gases to increase significantly. Thermal treatment also causes the polymer chains to be more rigid resulting in increasing the gases selectivities.
The hypothesis of this research concerns varying the dianhydride precursors would affect the physicochemical properties of the polyimides and, ultimately, the gas separation performance of the membranes. This was tested by using one diamine and three different dianhydrides precursors and their chemical structures are shown in Figure. 1. This was achieved via the following approaches:
§ Synthesize the polyimide powders using the different monomers independently and
ensure the procedure is reproduceable and repeatable. Then, characterize the
polyimides using various analysis techniques and compare their properties.
§ Fabricate free-standing polyimide membranes, and thermally rearrange them to
polybenzoxazoles. Then, characterize the membranes before and after the thermal
rearrangement thoroughly to verify their chemical structure.
§ Preform gas permeability tests through all the polyimide membranes before and after
thermal rearrangement. The gas pairs tested were CO2/CH4, N2/CH4 and CO2/N2.
2
Finally, compare the obtained data points to each other as well as to the Robeson upper
bound, in an attempt to assess the extent of improvement against published results.
Figure 1. Chemical structures of the monomers used to synthesize the hydroxyl-polyimides (HPIs). The thesis of research centers around the concept that among the three dianhydride precursors, the polyimide membrane derived from BisAPAF and BTDA will provide more improved gas separation properties. This was anticipated because the BTDA contains a very stable bridging group which would most likely result in high polymer chain rigidity.
This thesis consists of five main chapters other than executive summary. Chapter two is a literature review of the fundamentals of polyimide membranes for natural gas separation.
It aims to provide the foundation needed to comprehend the rest of the thesis. It starts by discussing the main reason that drives this research and moves on to introducing all the relevant concepts. Chapter three represents the first research paper which was published at the
3
International Journal of Polymer Analysis and Characterization (IJPAC) in 2018. The paper concerns the synthesis of the polyimides using the different monomers, but its core is in the intensive characterization of the synthesized polyimide powders. Chapter four represents the second research paper which was submitted for publication in the Journal of Membrane
Sciences (JMS). It goes through a more detailed synthesis methodology and discusses the fabrication of the free-standing membranes and the gas separation results. Chapter five then moves to discuss all the major challenges that emerged while conducting the experimental work along with all the potential solutions that were attempted. Chapter six then ends the thesis with some brief conclusions and a list of future recommendations.
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CHAPTER 2: A REVIEW OF THE FUNDAMENTALS OF POLYIMIDE MEMBRANES FOR NATURAL GAS SEPARATION 2.1 Introduction
Natural gas is one of the world’s primary fuels that currently accounts for the largest increase in the world’s primary energy consumption [1]. This is mainly due to the abundance of natural gas resources and the advancement in production technologies especially hydraulic fracturing and horizontal drilling [1,2]. Natural gas currently supplies around 22% of the energy worldwide and more specifically, according to BP 2018 statistical review of world energy, the world’s natural gas consumption in 2017 was 3156.0 MTOE, where the US consumed 635.8 MTOE which means the US alone consumed 20.15% of the world’s natural gas [1,2]. Natural gas is primarily used in the electric power sector where it generates around a quarter of the entier sector’s electricity and that is because it has a high fuel efficiency and it is considered cleaner than coal and other petroleum products [1-3]. For instance, natural gas yields 50% less carbon dioxide per unit produced than coal, and 25% less than oil [1,3].
Moreover, it is predominantly used in the industrial sector where it is a key feedstock to many processess and that is because it is used as a raw material that makes it a major ingredient for many products [1,2]. These reasons made these two sectors account for around 74% of the total increase in the world’s natural gas consumption from 2012 through 2040 [1]. The natural gas future projection consumption is expected to continue increasing as shown in Figure. 2.
5
Figure 2. World energy current consumption and future projection by fuel [4]. There are a series of steps associated with the transportation of natural gas from production sites to consumers [5]. The first step is gathering the raw natural gas from the wellhead to the processing plant. The second step is the separation/purification of the natural gas where hydrocarbon gas liquids, water and nonhydrocarbon gases (impurities) are removed.
The third step is transmitting the purified natural gas cross state boundaries and intrastate transmission pipelines from production and processing areas to storage and distribution centers. Finally, local distribution companies deliver natural gas to consumers through service lines.
The composition of raw natural gas varies considerably depending on the location from which it is extracted [6]. Natural gas primarily consists of methane and varying amounts of higher alkanes such as ethane, propane, butane and pentane. Moreover, it consists of impurities that include carbon dioxide, oxygen, nitrogen, hydrogen sulfide and some rare inert gases such as argon and helium. A typical gas composition is presented in Table. 1. As mentioned earlier, natural gas needs to be treated before being transported through pipelines in order to meet
6
certain pipeline specifications (Table. 1). These specifications are mainly concerned with impurities because separating them increase the calorific value of the fuel, prevent pipeline corrosion, enable the transportation of higher fuel volumes and create a cleaner fuel [7]. Some of the conventional processes used for natural gas separation/purification include adsorption, absorption and distillation (Figure. 3) [8]. However, separation via membranes is currently considered a potential viable alternative, especially when dealing with moderate to small gas streams [9-13].
Table 1. Typical natural gas composition and pipeline specifications.
Compound Symbol Percentage in Natural Gas [6] Pipeline Specification [14]
Methane CH4 60-90 -
Ethane C2H6 0-20 -
Propane C3H8 0-20 -
Butane C4H10 0-20 -
Carbon Dioxide CO2 0-8 < 2%
Oxygen O2 0-0.2 < 1%
Nitrogen N2 0-8 < 4%
Hydrogen Sulfide H2S 0-3 < 4 ppm =0.0004% Rare Gases Ar & He 0-2 < 4%
Figure 3. Summary of natural gas distribution scheme and technologies used for its separation [5,8].
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Membranes have been studied intensively in the past few decades and that is mainly because they have several advantages over the conventional natural gas separation processes. Some of these advantages include: [15-17]
§ Less energy intensive
§ Small footprint
§ Modular and easy to scale up
§ Simple concept, operation and maintenance
§ Does not require chemical additives
§ Usually operate at under continuous steady-state conditions
§ Doesnot involve phase changes (except for perevaporation)
§ Potential recycling of the materials used
§ Realatively inexpensive raw materials
The history of membrane technology is believed to have started as early as the 1820s and the “golden age” of membrane technology is believed to be between the 1960-1980 [15].
A detailed timeline of the development of membrane technology is presentenced in Table. 2.
The milestones in the industrial application of membrane systems specifically for gas separation started in 1980 and continued to our present day [17] . Some of these major milestones are presented in a time line between 1980 to 2010 (Figure. 4) [17].
8
Table 2. Timeline of the history of membrane technology.
Year Description Reference 1824 The osmosis phenomenon in natural membranes was discovered. [15, 17] 1845 The anisotropy of natural membranes was researched. [18] Fick’s law of diffusion, which explains the diffusion of gases through fluid 1855 [19] membranes, was introduced. 1861 The fundamentals of gases and vapor separation were investigated. [19] 1865 The first synthetic membrane was made from nitrocellulosis. [19] The solution-diffusion transport mechanism was introduced and gas 1866 [18] separation in rubbery membranes was researched. 1867 Osmosis on synthetic membranes was researched. [18] 1877 Osmosis on ceramic membranes was researched. [18] 1887 The Van’t Hoff equation for the osmotic pressure (�) was proposed. [20] 1907 Ultrafiltration was introduced. [18] 1911 The distribution law was introduced. [18] 1926 Dialysis was researched intensively. [18] 1931 Reverse osmosis (RO) was researched. [18] 1934 Electrodialysis was researched. [18] Gas separation on silicon rubber and pervaporation of azeotropic mixtures 1957 [21] were studied. The first asymmetric integrally skinned cellulose acetate RO membranes 1960 [22] were fabricated. 1962 Composite membranes were researched. [21] 1963 Capillary membranes were studies. [21] 1973 Mixed Matric Membranes (MMMs) were investigared. [15] 1975 Pressure-driven processes were classified. [18] 1977 Facilitated transport models were introduced. [18] 1980 Membranes with immobilized carriers was instigated. [18] 1989 The chain model of facilitated transport was introduced. [21] 1990 Membrane hybrid processes and nanofiltration were introduced. [18, 21] 2000 Carbon nanotube membranes were introduced. [21]
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Figure 4. Timeline representing the milestones in the industrial application of membrane gas separation systems [17].
Gas separation using membranes has two major potential candidates that could be used [15]:
§ Polymeric Membranes: The primary gas separation properties, permeability and
selectivity, of polymeric membranes are governed by the nature of the material which
includes the chemical structure of the precursors used. Moreover, the structural
characteristics of the membrane, such as the thickness and the existence or
nonexistence of pores, have a significant influence on the gas separation properties.
§ Inorganic Membranes: The gas separation properties of inorganic membranes are
primarily defined by the pore structure, pore size, pore volume, extent of tortuosity,
surface roughness and the existence or nonexistence of constrictions. Furthermore, the
most important properties that significantly impact the separation properties are the
grade of hydrophilicity and/or hydrophobicity.
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2.2 Polymeric Membranes
Polymeric membranes used for gas separation could be made of glassy or rubbery polymers. Glassy polymers are generally characterized by having stiff chains and relatively low fractional free volume (FFV), as indicated in Figure. 5, which causes the membranes to exhibits significantly high gas selectivity but relatively low gas permeability even at elevated pressures [15,24]. Moreover, they are usually used for applications that require polymers that are more permeable to the smaller components in a gas mixture where the FFV tend to sieve penetrant molecules mainly according to size [24]. More specifically, the selectivity of glassy membranes is based on solution-diffusion mechanism where the rate of gas transport depends on: (1) the affinity of the gas molecules to the material of the membrane together with (2) the rate of gas diffusion through the membrane matrix [15]. Thus, the gas permeation is a product of: (1) diffusivity which is linked to the FFV and the size of the penetrating gas molecules, and
(2) solubility which is related to the chemical affinity between the polymer matrix and the gas molecules [15,24]. Some examples of glassy polymers include cellulose acetate (CA), polysulfone (PSF) and polyimides (PI) [15,25-27].
One the other hand, rubbery polymers are mainly characterized by having highly flexible chains and ultrahigh FFV (Figure. 5) which causes the membranes to demonstrate significantly high permeability and low selectivity [24]. This makes them mostly used in applications that require polymers that are more permeable to large components in the gas mixture which are weakly sieved based on size and rather on solubility [24]. In other words, the selectivity in rubbery membranes is based on the sorption phenomenon rather than gas diffusion where the chemical affinity between the gas molecules and the polymer chains is significant mainly due to the flexibility of the polymer chains especially for condensable gases
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[15]. Some examples of rubbery polymers include poly(amide-6-b-ethylene oxide) (Pebax®), polyvinylamine (PVAm) and poly(dimethyl siloxane) (PDMS) [28-30].
Figure 5. Permeation in glassy polymers Vs. rubbery polymers [17]. It is important to note that the transport phenomena of different gas species vary form one polymer to another where the properties significantly depend on: (1) the free volume of the polymer as well as (2) the segmental mobility of the polymer chains [17,31]. Additionally, the degree of crystallinity, unsaturation and cross-linking as well as the nature of substituents all affect the segmental mobility of the polymer chains which, consequently, affects the overall separation properties.
There is a wide range of documented polymers that exhibit high gas separation; however, there are only a few glassy polymers that are suitable for fabricating promising membranes for various gas separation applications [15]. Some of the most commonly used glassy polymeric membranes are presented in Figure. 6 [15].
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Polyimide (PI)
Polyetherimide (PEI)
Polysulfone (PSF)
Polyethersulfone (PESF)
Figure 6. The chemical structures of (a) Polyimide (PI), (b) Polyetherimide (PEI), (c) Polysulfone (PSF) and (d) Polyethersulfone (PESF) [15]. 2.2.1 Mass transfer principles in membranes
Gas separation via membranes is a rate-based process where the driving force is the pressure difference across the membrane. This pressure difference results in a corresponding difference in the concentration of the dissolved gas between the two sides of the membrane which causes the gas flow to diffuse through the membrane [17].
Moreover, the gas separation through a polymeric membrane is significantly affected by a number of factors that include the solubility and diffusivity of the gas species through the polymer matrix, chain packing of the polymer used and characteristics of the side/pendant groups such as their polarity, complexity, orientation and crystallinity [17,32].
2.2.1.1 Mass transfer diffusion
The term “diffusion” is defined as the process by which molecules in a media spread randomly from a region of high concentration to a region of lower concentration until a state of equilibrium is reached when the concentrations in both regions are equal [15,17]. Fick’s
13
first law of diffusion (EQ.1) [33,34] describes this process by relating the diffusive flux and concentration assuming steady state.
�� � = −� EQ. 1 ��
Where � is the flux rate of the component (mol.s-1), , � is the diffusion coefficient (cm2.s-1), � is the concentration of the diffused component in the membrane (mol.m3) and � is the x- coordinate of the direction of the flow (cm). The negative sign indicates that the flow is in the opposite direction from the direction of increased concentration [15]. The diffusion coefficient
(�), also called diffusivity, is dictated by the diffusion mechanism that takes place through a membrane. There are several diffusion mechanisms that could take place in membranes which are governed by the material of construction and the method of fabrications. Generally, five main mechanisms dominate the diffusion process across a membrane; namely: (a) Knudsen diffusion, (b) molecular sieving, (c) solution-diffusion, (d) surface diffusion and (e) capillary condensation [17]. These mechanisums are displayed in Figure. 7:
Figure 7. Main types of diffusion mechanisms: (a) Knudsen diffusion, (b) molecular sieving, (c) solution-diffusion, (d) surface diffusion and (e) capillary condensation (adapted from [17]).
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In inorganic porous membranes, the potential diffusion mechanisms are Knudsen diffusion, molecular sieving, surface diffusion and capillary condensation [15,17]. Whereas, in polymeric membranes, the diffusion mechanisms are Knudsen diffusion and solution- diffusion [17] .
2.2.1.2 Knudsen diffusion
The Knudsen diffusion mechanism could occur in dense polymeric membranes through long pores that typically have narrow diameters of less than 50 nm [17]. More precisely, this mechanism takes place when the mean free path of the molecule is larger than the pore diameter
[35]. This causes the collision of the gas molecules with the pore wall to occur more frequently than those collisions between the gas molecules themselves [35,36]. The Knudsen number
(Kn) is defined as the ratio of the mean free path of the gas molecules and a representable physical length scale as shown in EQ. 2 [17].
� � = EQ. 2 �
Where � is the mean free path which is described as the average distance between collisions
(EQ. 3) and � is the radius [17,36].